The probability that in 10 throws of a fair die, a score which is a multiple of 3 is obtained in 8 of the throws is:
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For “exactly r successes in n trials” problems, directly use binomial distribution:
- Identify success and failure.
- Find \(p\) and \(q\).
- Use \( {}^nC_r p^r q^{n-r} \).
- Simplify carefully after substitution.